Real And Complex Zeros Of A Polynomial Function. This gives us a second factor of which we can solve using the quadratic formula. The fundamental theorem of algebra tells us that every polynomial function has at least one complex zero.
The fundamental theorem of algebra tells us that every polynomial function has at least one complex zero. This gives us a second factor of which we can solve using the quadratic formula. For example the polynomial function p x 4ix 2 3x 2 has at least one complex zero.
Given the zeros of a polynomial function latex f latex and a point latex left c text f c right latex on the graph of latex f latex use the.
Suppose f is a polynomial function of degree four and latex f left x right 0 latex. The fundamental theorem of algebra states that there is at least one complex solution call it latex c 1 latex. If the polynomial function f has real coefficients and a complex zero in the form latex a bi latex then the complex conjugate of the zero latex a bi latex is also a zero. Suppose f is a polynomial function of degree four and latex f left x right 0 latex.